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Search: id:A005377
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| A005377 |
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Number of low discrepancy sequences in base 4.
(Formerly M0504)
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+0
1
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| 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86
(list; graph; listen)
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OFFSET
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0,6
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REFERENCES
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Harald Niederreiter, Low-discrepancy and low-dispersion sequences, J. Number Theory 30 (1988), no. 1, 51-70.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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FORMULA
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G.f.: (x^4 + x^10 ) / (1 - 2x + x^2 ).
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MAPLE
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A005377:=z**4*(z**2+1)*(z**4-z**2+1)/(z-1)**2; [Conjectured (correctly) by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Sequence in context: A090811 A162002 A032956 this_sequence A004272 A004279 A120370
Adjacent sequences: A005374 A005375 A005376 this_sequence A005378 A005379 A005380
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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